The times taken to complete a statistics test by all students are normally distributed with a mean of 120 minutes and a standard deviation of 12 minutes. Find the probability that the mean time taken to complete this test by a random sample of 16 students would be between 122 and 125 minutes.
Added by Paul A.
Step 1
We are given that the population mean (μ) is 120 minutes and the population standard deviation (σ) is 12 minutes. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 57 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The average length of time required for students to complete a test in an Introductory Statistics course is 60 minutes with a standard deviation of 12 minutes. Students are allowed 80 minutes to complete the test. Assume that the time required to complete the test follows a Normal distribution. If 10 students are randomly selected, what is the probability that at least eight of them will have sufficient time to complete the test?
David N.
The mean time it takes a group of senior high students to compete a certain examination is 50.6 minutes. The standard deviation is 6 minutes. Assume that the variable normally distributed. What is the probability that a randomly selected senior high school student will complete the examination in less than 48 minutes?
Jeremy G.
The average time it takes college freshmen to complete a reasoning skills test is 24 minutes. The standard deviation is 15 minutes. If a randomly selected freshman takes the exam, find the probability that he or she takes more than 32 minutes to complete the test. Assume the variable is normally distributed.
Joanna Q.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD